   Chapter 6.2, Problem 23E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# In Exercises 23 to 25 , complete a paragraph proof. Given: Tangent A B ¯ to ⊙ ο at point B m ∠ A = m ∠ B Prove: m B D ⌢ = 2 ⋅ m B C ⌢ To determine

To find:

The prove mBD=2mBC.

Explanation

Calculation:

Given,

mA=mB.

To prove: mBD=2mBC.

Since, Tangent AB¯ to ο at point B.

A is a tangent-secant angle, mA=mBDmBC2.

B has the vertex on the circle and is a chord-tangent angle, mB=mBC2.

Given,

mA=mB

Substitute the values of mA and mB in mA=mB

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